For this case we have that by definition the volume of a cylinder is:
V = ((pi) * (r ^ 2)) * (h).
Where
r: radio
h: height.
Also we have
r: d / 2
Where,
d: diameter.
Substituting we have:
V = ((pi) * ((d / 2) ^ 2)) * (h).
V = (pi) * (((6) / 2) ^ 2) * (5).
V = 45pi m ^ 3
Answer:
The volume of a circular cylinder is:
V = 45pi m ^ 3
Answer:
Step-by-step explanation:
A binary string with 2n+1 number of zeros, then you can get a binary string with 2n(+1)+1 = 2n+3 number of zeros either by adding 2 zeros or 2 1's at any of the available 2n+2 positions. Way of making each of these two choices are (2n+2)22. So, basically if b2n+12n+1 is the number of binary string with 2n+1 zeros then your
b2n+32n+3 = 2 (2n+2)22 b2n+12n+1
your second case is basically the fact that if you have string of length n ending with zero than you can the string of length n+1 ending with zero by:
1. Either placing a 1 in available n places (because you can't place it at the end)
2. or by placing a zero in available n+1 places.
0 ϵ P
x ϵ P → 1x ϵ P , x1 ϵ P
x' ϵ P,x'' ϵ P → xx'x''ϵ P
Answer:
17.) 12
18.) 1/15
Step-by-step explanation:
2 ÷
This problem is asking how many 's can go into 2 blocks. If you divide one box into 6 parts, each tiny box will be of the whole. Divide the other box into 6 parts as well, and you will get 12 of these parts. Check your answer by multiplying 12 by . The answer is which is also equal to 2.
÷ 5
For this one, think of it as we have one big box divided into thirds. We want to divide each portion by 5. So you should have 5 tiny boxes in each which gives you a total of 15 boxes. But if we look at it as one big box divided into 15 parts, we know that each of those is . Check your answer by multiplying by 5 and you get which is equal to .
Let me know if you have any questions, and good luck!
I believe that it would come out to become true
Answer:
The sum of money received by Ali, Carrie and Bryan is $ 740.
Step-by-step explanation:
At first we translate mathematically each sentence:
(i) <em>Ali, Carrie and Bryan received a sum of money. </em>
- Ali's money.
- Bryan's money.
- Carrie's money.
(ii) <em>Bryan's money was </em><em> of Ali's money</em>.
(1)
(iii) <em>The ratio of Ali's money to Carrie's money was 4 : 1</em>.
(2)
(iv) <em>Ali had $ 160 more than Bryan</em>.
(3)
After some algebraic handling, we have the following system of linear equations:
(1b)
(2b)
(3b)
The solution of the system is: , ,
The sum of money is:
The sum of money received by Ali, Carrie and Bryan is $ 740.